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Finding the Fourth Proportional to 6,809.61, 9,396.75 and 3,824.88

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Solution

The fourth proportional to 6,809.61, 9,396.75 and 3,824.88 is: 5,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.61 : 9,396.75 = 3,824.88 : x
  2. Step 2: Convert to fraction form
    6,809.61/9,396.75 = 3,824.88/x
  3. Step 3: Cross multiply
    6,809.61x = 9,396.75 × 3,824.88
  4. Step 4: Simplify right side
    6,809.61x = 35,941,441.14
  5. Step 5: Solve for x
    x = 35,941,441.14/6,809.61
  6. Step 6: Final answer
    x = 5,278.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.